461 citations
- Polish Academy of SciencesPL3 papers
- Institut Élie Cartan de LorraineFR2 papers
- Institute of MathematicsPL2 papers
- Laboratoire de Statistique Théorique et AppliquéeFR2 papers
- Université de LorraineFR2 papers
- Brigham Young UniversityUS1 paper
- Eötvös Loránd UniversityHU1 paper
- Gesellschaft Fur Mathematik Und DatenverarbeitungDE1 paper
- Instituto de Aeronáutica e EspaçoBR1 paper
- San Francisco State UniversityUS1 paper
- Sorbonne UniversitéFR1 paper
- Universitat Autònoma de BarcelonaES1 paper
4 papers · 1 filter
Existence of natural and conformally invariant quantizations of arbitrary symbols
Pierre Mathonet, Fabian Radoux
A quantization over a manifold can be seen as a way to construct a differential operator with prescribed principal symbol. The quantization map is moreover required to be a linear…
On the structure of pseudo-Riemannian symmetric spaces
Ines Kath, Martin Olbrich
Following our approach to metric Lie algebras developed in math.DG/0312243 we propose a way of understanding pseudo-Riemannian symmetric spaces which are not semi-simple. We introd…
Derivations of the Lie Algebras of Differential Operators
J. Grabowski, N. Poncin
This paper encloses a complete and explicit description of the derivations of the Lie algebra D(M) of all linear differential operators of a smooth manifold M, of its Lie subalgebr…
Lie algebraic characterization of manifolds
Janusz Grabowski, Norbert Poncin
Results on characterization of manifolds in terms of certain Lie algebras growing on them, especially Lie algebras of differential operators, are reviewed and extended. In particul…